



 
Hi Noeline, Here is a graph of the probability density function. The probability that a bottle is filled with an amount between $a$ ounces and $b$ ounces is the area of the region bounded above by the density function, below by the Xaxis and between $a$ and $b.$ for example the probability that a bottle will be filled with between 11.980 and 12.001 ounces is the area of the region coloured blue in the diagram below. This is a rectangle which is 8 units high and $12.010  11.980 = 0.030$ units wide. Hence its area is $8 \times 0.030 = 0.24$ square units. Thus the probability that a bottle will be filled between 11.980 and 12.010 ounces in $0.24.$ Now you try the problem you sent and write back if you need more help. Penny  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 